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Finding the Fourth Proportional to 3,274.27, 4,910.70 and 1,082.48

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Solution

The fourth proportional to 3,274.27, 4,910.70 and 1,082.48 is: 1,623.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.27 : 4,910.70 = 1,082.48 : x
  2. Step 2: Convert to fraction form
    3,274.27/4,910.70 = 1,082.48/x
  3. Step 3: Cross multiply
    3,274.27x = 4,910.70 × 1,082.48
  4. Step 4: Simplify right side
    3,274.27x = 5,315,734.54
  5. Step 5: Solve for x
    x = 5,315,734.54/3,274.27
  6. Step 6: Final answer
    x = 1,623.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.